Details

Time bar (total: 19.2s)

sample133.0ms

Algorithm
intervals
Results
70.0ms879×body80nan
20.0ms289×body80valid

simplify1.8s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×add-cube-cbrt associate-*l*
13×add-exp-log add-cbrt-cube
11×pow1
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
4×frac-times associate-/r* associate-/r/ add-log-exp
3×flip3-+ pow-prod-down associate-*l/ prod-exp cbrt-unprod flip-+ associate-/l* unswap-sqr
2×cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/2 clear-num distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
74.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
28.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
37.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
133.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

series774.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
97.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
242.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
275.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

simplify1.5s

Counts
126 → 126

prune574.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity
13×add-exp-log add-cbrt-cube
11×pow1
10×add-cube-cbrt associate-*r*
9×associate-*l*
8×associate-*r/
6×flip3-- times-frac flip--
4×frac-times sqrt-div associate-/r* add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*l/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 97
Calls
4 calls:
44.0ms
(* 9.0 (- a (/ 1.0 3.0)))
127.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
27.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
43.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series612.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 9.0 (- a (/ 1.0 3.0)))
164.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
87.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
316.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify1.3s

Counts
109 → 109

prune443.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
0.3b
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite487.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
118×add-sqr-sqrt
96×sqrt-prod
82×*-un-lft-identity
56×add-cube-cbrt
24×difference-of-squares
13×add-exp-log add-cbrt-cube
12×distribute-lft-out--
11×div-inv
10×associate-/l*
9×associate-/r*
6×associate-*l*
5×cbrt-undiv div-exp
4×pow1 frac-times flip3-- associate-*r* flip--
3×flip3-+ flip-+
2×sqrt-div associate-*r/ associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
2 → 160
Calls
2 calls:
436.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
40.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series583.0ms

Counts
2 → 6
Calls
2 calls:
229.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
354.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify1.6s

Counts
166 → 166

prune621.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b
(/ (* 1.0 rand) (sqrt (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.4b
(* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
36×sqrt-div
32×sqrt-pow1 associate-*r/
22×pow-prod-down
14×flip3-- flip--
12×add-sqr-sqrt pow1/2
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity pow-prod-up
8×frac-times sqrt-prod associate-/r/
6×pow-sqr
4×times-frac swap-sqr associate-*r* associate-*l* associate-*l/ associate-/r* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow2 frac-2neg pow-plus sqrt-unprod clear-num rem-square-sqrt *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 114
Calls
4 calls:
18.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
16.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
121.0ms
(/ (* 1.0 rand) (sqrt (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
130.0ms
(* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series559.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
102.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
256.0ms
(/ (* 1.0 rand) (sqrt (* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
99.0ms
(* (sqrt (* 9.0 (- a (/ 1.0 3.0)))) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify984.0ms

Counts
126 → 126

prune721.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.5s

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.1s27662×body80nan
923.0ms9158×body80valid